derivative of x^{3/4}-3x^{1/4}

Lösung

\frac{d}{d x} (x^{\frac{3}{4}} - 3 x^{\frac{1}{4}})

\frac{3}{4 x ^{\frac{1}{4}}} - \frac{3}{4 x ^{\frac{3}{4}}}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{3}{4}} - 3 x^{\frac{1}{4}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{\frac{3}{4}}) - \frac{d}{d x} (3 x^{\frac{1}{4}})

\frac{d}{d x} (x^{\frac{3}{4}}) = \frac{3}{4 x ^{\frac{1}{4}}}

\frac{d}{d x} (3 x^{\frac{1}{4}}) = \frac{3}{4 x ^{\frac{3}{4}}}

= \frac{3}{4 x ^{\frac{1}{4}}} - \frac{3}{4 x ^{\frac{3}{4}}}

d er i v a t i v e (3.3 x + 5)^{0.37}

\frac{d}{d x} (\frac{1}{2 x ^{\frac{5}{2}}})

y^{^{'}} = (y + 9 x)^{2}

in v erse l a pl a ce \frac{( e ^{- 2 s} )}{s}

\int - 2 x^{5} - 5 x^{3} + 3 x^{2} + 1 - 4 e^{x} d x